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AP Physics 2
9.5 Specific Heat and Thermal Conductivity
IntermediateMCQProportional AnalysisConceptual22.9k
A horizontal composite cylindrical rod connected between two large rectangular thermal reservoirs. On the left is a hot reservoir labeled T_H. Attached to it is Segment 1, a horizontal cylinder of length L and cross-sectional area A. Attached coaxially to the right end of Segment 1 is Segment 2, a horizontal cylinder of the same length L but with a larger cross-sectional area 2A. The right end of Segment 2 attaches to a cold reservoir labeled T_C. The outer curved boundaries of both cylindrical segments feature diagonal hatching lines to represent thermal insulation. No other labels, lines, text, or axes appear.
A composite rod with insulated outer walls connected between hot and cold thermal reservoirs.
A composite rod consists of two cylindrical segments, Segment 1 and Segment 2, made of the same uniform material. Both segments have length \(L\), but Segment 1 has cross-sectional area \(A\) while Segment 2 has cross-sectional area \(2A\). The rod is connected between a hot reservoir at temperature \(T_H\) and a cold reservoir at temperature \(T_C\), and its outer surfaces are thermally insulated. Once the system reaches steady state, how do the heat transfer rate \(H_1\) through Segment 1 and the temperature difference \(\Delta T_1\) across Segment 1 compare to the heat transfer rate \(H_2\) through Segment 2 and the temperature difference \(\Delta T_2\) across Segment 2?

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